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Finding the Fourth Proportional to 16,975, 23,425.86 and 9,523

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Solution

The fourth proportional to 16,975, 23,425.86 and 9,523 is: 13,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975 : 23,425.86 = 9,523 : x
  2. Step 2: Convert to fraction form
    16,975/23,425.86 = 9,523/x
  3. Step 3: Cross multiply
    16,975x = 23,425.86 × 9,523
  4. Step 4: Simplify right side
    16,975x = 223,084,464.78
  5. Step 5: Solve for x
    x = 223,084,464.78/16,975
  6. Step 6: Final answer
    x = 13,141.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.